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Department of Mathematical Sciences Programme Catalogue 2016/17


USMA-AFM14: MMath(Hons) Mathematics

Leading to the award of MASTER OF MATHEMATICS

Mode of attendance: Full-time

Normal programme duration: 4 years


Click here for further information Possible DAPs for this programme:

Please see your programme handbook for circumstances where transfer to DAP may be permitted/required.

 

Click here for further informationPossible exit awards for this programme:



Year 1

Click here for further information NFAAR-UG assessment regulations:
  • Transfer to DAP may be possible from this programme year.
  • Main assessment regulations: Appendix 15 PDF format -requires Acrobat Reader to view; Supplementary assessment regulations: Appendix 16 PDF format -requires Acrobat Reader to view.
  • Part 1 Stage 1 of this programme contributes 0% towards the final award classification


Academic Year: Part 1 Stage 1

Compulsory Units:
Unit Code
Title
ECTS Credits
MA10207 Analysis 1 12 credits       [equivalent to 24 CATS credits] Further information on credits
XX10190 Programming and discrete mathematics 12 credits       [equivalent to 24 CATS credits] Further information on credits


Semester 1: Part 1 Stage 1

Compulsory Units:
Unit Code
Title
ECTS Credits
MA10209 Algebra 1A 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA10211 Probability & statistics 1A 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA10230 Methods and applications 1A 6 credits       [equivalent to 12 CATS credits] Further information on credits


Semester 2: Part 1 Stage 1

Compulsory Units:
Unit Code
Title
ECTS Credits
MA10210 Algebra 1B 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA10212 Probability & statistics 1B 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA10236 Methods and applications 1B 6 credits       [equivalent to 12 CATS credits] Further information on credits

Notes:

  • Programmes and units may be changed in accordance with normal University procedures.
  • This programme catalogue is applicable for all years of study for the 2016/17 academic year only. Students continuing their studies into 2017/18 and beyond should not assume that this programme, or its component units, will be delivered in future years in the format displayed here.
  • NFAAR assessment regulations are subject to review and update. Links given here will provide access to the latest versions of NFAAR documentation. The regulations described in this documentation may not necessarily be those which applied in previous academic years. For detailed information on how the NFAAR was applied to this programme in previous academic years, please contact the relevant Director of Studies.
  • Availability of units is subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules.
  • Find out more about these and other important University terms and conditions here.


Year 2

Click here for further information NFAAR-UG assessment regulations:
  • Transfer to DAP may be possible from this programme year.
  • Main assessment regulations: Appendix 23 PDF format -requires Acrobat Reader to view; Supplementary assessment regulations: Appendix 24 PDF format -requires Acrobat Reader to view.
  • Part 2 Stage 2 of this programme contributes 16% towards the final award classification


Academic Year: Part 2 Stage 2

Optional Units: Select a minimum of 0 and a maximum of 1 units from the following list:
Unit Code
Title
ECTS Credits
ES20069 Introduction to econometrics 12 credits       [equivalent to 24 CATS credits] Further information on credits


Semester 1: Part 2 Stage 2

Compulsory Units:
Unit Code
Title
ECTS Credits
MA20216 Algebra 2A 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20218 Analysis 2A 6 credits       [equivalent to 12 CATS credits] Further information on credits

Optional Units: Select a minimum of 2 and a maximum of 3 units from the following list:
Unit Code
Title
ECTS Credits
MA20220 Ordinary differential equations and control 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20222 Numerical analysis 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20224 Probability 2A 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20226 Statistics 2A 6 credits       [equivalent to 12 CATS credits] Further information on credits

Optional Units: Select a minimum of 0 and a maximum of 1 units from the following list:
Unit Code
Title
ECTS Credits
CM10194 Computer systems architecture 1 6 credits       [equivalent to 12 CATS credits] Further information on credits
CM20217 Foundations of computation 6 credits       [equivalent to 12 CATS credits] Further information on credits
MN10248 Introduction to accounting 6 credits       [equivalent to 12 CATS credits] Further information on credits
PH10005 Vibrations, waves & optics 6 credits       [equivalent to 12 CATS credits] Further information on credits


Semester 2: Part 2 Stage 2

Compulsory Units:
Unit Code
Title
ECTS Credits
MA20217 Algebra 2B 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20219 Analysis 2B 6 credits       [equivalent to 12 CATS credits] Further information on credits

Optional Units: Select a minimum of 2 and a maximum of 3 units from the following list:
Unit Code
Title
ECTS Credits
MA20221 Modelling and dynamical systems 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20223 Vector calculus and partial differential equations 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20225 Probability 2B 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20227 Statistics 2B 6 credits       [equivalent to 12 CATS credits] Further information on credits

Optional Units: Select a minimum of 0 and a maximum of 1 units from the following list:
Unit Code
Title
ECTS Credits
CM10195 Computer systems architecture 2 6 credits       [equivalent to 12 CATS credits] Further information on credits
CM20256 Functional programming 6 credits       [equivalent to 12 CATS credits] Further information on credits
MN10248 Introduction to accounting 6 credits       [equivalent to 12 CATS credits] Further information on credits
MN10500 Corporate finance for managers 6 credits       [equivalent to 12 CATS credits] Further information on credits
PH10001 Introduction to quantum physics 6 credits       [equivalent to 12 CATS credits] Further information on credits

Notes:

  • Programmes and units may be changed in accordance with normal University procedures.
  • This programme catalogue is applicable for all years of study for the 2016/17 academic year only. Students continuing their studies into 2017/18 and beyond should not assume that this programme, or its component units, will be delivered in future years in the format displayed here.
  • NFAAR assessment regulations are subject to review and update. Links given here will provide access to the latest versions of NFAAR documentation. The regulations described in this documentation may not necessarily be those which applied in previous academic years. For detailed information on how the NFAAR was applied to this programme in previous academic years, please contact the relevant Director of Studies.
  • Availability of units is subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules.
  • Find out more about these and other important University terms and conditions here.


Year 3

Click here for further information NFAAR-UG assessment regulations:
  • Transfer to DAP may be possible from this programme year.
  • This is the penultimate stage of the programme.
  • Main assessment regulations: Appendix 23 PDF format -requires Acrobat Reader to view; Supplementary assessment regulations: Appendix 24 PDF format -requires Acrobat Reader to view.
  • Part 2 Stage 3 of this programme contributes 34% towards the final award classification


  • Students must take units totalling 60 credits for the year, normally 30 credits each semester. In the combined programme for years 3 and 4 at least 108 of the 120 credits should be at level 3 or higher and at least 60 should be at level 4.
  • Students must check the teaching timeslots (pdf - link opens in new tab) when choosing units. To minimise timetable clashes, no more than one unit should be chosen from each timeslot within the same semester.

Academic Year: Part 2 Stage 3

Optional Units: Select a minimum of 0 and a maximum of 1 units from the following list:
Unit Code
Title
ECTS Credits
ES20069 Introduction to econometrics 12 credits       [equivalent to 24 CATS credits] Further information on credits


Semester 1: Part 2 Stage 3

Optional Units: Select a minimum of 4 and a maximum of 5 units from the following list:
Unit Code
Title
ECTS Credits
CM20217 Foundations of computation 6 credits       [equivalent to 12 CATS credits] Further information on credits
CM20254 Data structures and algorithms 6 credits       [equivalent to 12 CATS credits] Further information on credits
CM30070 Computer algebra 6 credits       [equivalent to 12 CATS credits] Further information on credits
ES30027 Econometrics 1 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20220 Ordinary differential equations and control 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20222 Numerical analysis 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20224 Probability 2A 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20226 Statistics 2A 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30039 Differential geometry of curves & surfaces 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30041 Metric spaces 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30044 Mathematical methods 1 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30046 Linear control theory 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30047 Mathematical biology 1 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30051 Numerical linear algebra 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30060 Dynamics and chaos 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30084 Generalised linear models 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30086 Medical statistics 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30087 Optimisation methods of operational research 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30125 Markov processes & applications 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30237 Group theory 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40042 Measure theory & integration 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40043 Real & abstract analysis 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40065 Viscous fluid mechanics 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40092 Classical statistical inference 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40198 Applied statistical inference 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40238 Number theory 6 credits       [equivalent to 12 CATS credits] Further information on credits
PH20013 Quantum & atomic physics 6 credits       [equivalent to 12 CATS credits] Further information on credits
PH30031 Simulation techniques 6 credits       [equivalent to 12 CATS credits] Further information on credits
ZZ30001 Director of Studies approved unit 6 credits       [equivalent to 12 CATS credits] Further information on credits


Semester 2: Part 2 Stage 3

Optional Units: Select a minimum of 4 and a maximum of 5 units from the following list:
Unit Code
Title
ECTS Credits
CM20252 Artificial intelligence 6 credits       [equivalent to 12 CATS credits] Further information on credits
CM20256 Functional programming 6 credits       [equivalent to 12 CATS credits] Further information on credits
CM30073 Advanced algorithms & complexity 6 credits       [equivalent to 12 CATS credits] Further information on credits
CM30075 Advanced computer graphics 6 credits       [equivalent to 12 CATS credits] Further information on credits
CM30080 Computer vision 6 credits       [equivalent to 12 CATS credits] Further information on credits
CM30173 Cryptography 6 credits       [equivalent to 12 CATS credits] Further information on credits
CM30226 Logic and semantics of programming languages 6 credits       [equivalent to 12 CATS credits] Further information on credits
ES30028 Econometrics 2 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20221 Modelling and dynamical systems 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20223 Vector calculus and partial differential equations 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20225 Probability 2B 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA20227 Statistics 2B 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30055 Introduction to topology 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30056 Complex analysis 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30059 Mathematical methods 2 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30061 Optimal control 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30063 Mathematical biology 2 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30085 Time series 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30089 Stochastic processes & finance 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30091 Applied statistics 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30128 Project 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30170 Numerical solution of elliptic PDEs 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30231 Projective geometry 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30241 Communicating maths 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30245 Graphs and networks: theory and applications 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40037 Galois theory 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40048 Analytical & geometrical theory of differential equations 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40049 Elasticity 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40050 Numerical optimisation and large-scale systems 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40057 Functional analysis 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40058 Probability with martingales 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40062 Ordinary differential equations 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40090 Multivariate data analysis 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40177 Scientific computing 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40189 Topics in Bayesian statistics 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40203 Theory of partial differential equations 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40239 Discrete probability 6 credits       [equivalent to 12 CATS credits] Further information on credits
ZZ30004 Director of Studies approved unit 6 credits       [equivalent to 12 CATS credits] Further information on credits

Notes:

  • Programmes and units may be changed in accordance with normal University procedures.
  • This programme catalogue is applicable for all years of study for the 2016/17 academic year only. Students continuing their studies into 2017/18 and beyond should not assume that this programme, or its component units, will be delivered in future years in the format displayed here.
  • NFAAR assessment regulations are subject to review and update. Links given here will provide access to the latest versions of NFAAR documentation. The regulations described in this documentation may not necessarily be those which applied in previous academic years. For detailed information on how the NFAAR was applied to this programme in previous academic years, please contact the relevant Director of Studies.
  • Availability of units is subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules.
  • Find out more about these and other important University terms and conditions here.


Year 4

Click here for further information NFAAR-UG assessment regulations:
  • Transfer to DAP may be possible from this programme year.
  • Main assessment regulations: Appendix 27 (Section A) PDF format -requires Acrobat Reader to view; Supplementary assessment regulations: Appendix 28 (Section A) PDF format -requires Acrobat Reader to view.
  • Part 3 Stage 4 of this programme contributes 50% towards the final award classification


  • Students must take units totalling 60 credits for the year, normally 30 credits each semester. In the combined programme for years 3 and 4 at least 108 of the 120 credits should be at level 3 or higher and at least 60 should be at level 4.
  • Students must check the teaching timeslots (pdf - link opens in new tab) when choosing units. To minimise timetable clashes, no more than one unit should be chosen from each timeslot within the same semester.

Academic Year: Part 3 Stage 4

Optional Units: Select a minimum of 0 and a maximum of 1 units from the following list:
Students who choose MA40249 from this list may not also take CM30082, MA40117 (in Semester 1), or MA40195 (in Semester 2)
Unit Code
Title
ECTS Credits
MA40249 Year long project (MMath) 12 credits       [equivalent to 24 CATS credits] Further information on credits


Semester 1: Part 3 Stage 4

Optional Units: Select a minimum of 4 and a maximum of 5 units from the following list:
Students who choose to take year-long unit MA40249 may not also take MA40117 from this list.
Unit Code
Title
ECTS Credits
CM30070 Computer algebra 6 credits       [equivalent to 12 CATS credits] Further information on credits
ES30027 Econometrics 1 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30039 Differential geometry of curves & surfaces 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30041 Metric spaces 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30044 Mathematical methods 1 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30046 Linear control theory 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30047 Mathematical biology 1 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30051 Numerical linear algebra 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30060 Dynamics and chaos 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30084 Generalised linear models 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30086 Medical statistics 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30087 Optimisation methods of operational research 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30125 Markov processes & applications 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30237 Group theory 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40040 Algebraic topology 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40042 Measure theory & integration 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40043 Real & abstract analysis 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40045 Dynamical systems 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40065 Viscous fluid mechanics 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40092 Classical statistical inference 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40117 Project (MMath) 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40171 Numerical solution of evolutionary equations 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40197 Advanced mathematical biology 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40198 Applied statistical inference 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40233 Topics in pure mathematics 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40238 Number theory 6 credits       [equivalent to 12 CATS credits] Further information on credits
PH30030 Quantum mechanics 6 credits       [equivalent to 12 CATS credits] Further information on credits
PH30031 Simulation techniques 6 credits       [equivalent to 12 CATS credits] Further information on credits
PH30032 Laser physics 6 credits       [equivalent to 12 CATS credits] Further information on credits
ZZ30001 Director of Studies approved unit 6 credits       [equivalent to 12 CATS credits] Further information on credits


Semester 2: Part 3 Stage 4

Optional Units: Select a minimum of 4 and a maximum of 5 units from the following list:
Students who choose to take year-long unit MA40249 may not also take MA40195 from this list.
Unit Code
Title
ECTS Credits
CM30073 Advanced algorithms & complexity 6 credits       [equivalent to 12 CATS credits] Further information on credits
CM30075 Advanced computer graphics 6 credits       [equivalent to 12 CATS credits] Further information on credits
CM30080 Computer vision 6 credits       [equivalent to 12 CATS credits] Further information on credits
CM30173 Cryptography 6 credits       [equivalent to 12 CATS credits] Further information on credits
CM30226 Logic and semantics of programming languages 6 credits       [equivalent to 12 CATS credits] Further information on credits
ES30028 Econometrics 2 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30055 Introduction to topology 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30056 Complex analysis 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30059 Mathematical methods 2 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30061 Optimal control 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30063 Mathematical biology 2 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30085 Time series 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30089 Stochastic processes & finance 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30091 Applied statistics 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30170 Numerical solution of elliptic PDEs 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30231 Projective geometry 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30241 Communicating maths 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA30245 Graphs and networks: theory and applications 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40037 Galois theory 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40048 Analytical & geometrical theory of differential equations 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40049 Elasticity 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40050 Numerical optimisation and large-scale systems 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40057 Functional analysis 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40058 Probability with martingales 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40062 Ordinary differential equations 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40090 Multivariate data analysis 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40177 Scientific computing 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40189 Topics in Bayesian statistics 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40195 Project (MMath) 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40203 Theory of partial differential equations 6 credits       [equivalent to 12 CATS credits] Further information on credits
MA40239 Discrete probability 6 credits       [equivalent to 12 CATS credits] Further information on credits
PH40084 Advanced quantum theory 6 credits       [equivalent to 12 CATS credits] Further information on credits
ZZ30004 Director of Studies approved unit 6 credits       [equivalent to 12 CATS credits] Further information on credits

Notes:

  • Programmes and units may be changed in accordance with normal University procedures.
  • This programme catalogue is applicable for all years of study for the 2016/17 academic year only. Students continuing their studies into 2017/18 and beyond should not assume that this programme, or its component units, will be delivered in future years in the format displayed here.
  • NFAAR assessment regulations are subject to review and update. Links given here will provide access to the latest versions of NFAAR documentation. The regulations described in this documentation may not necessarily be those which applied in previous academic years. For detailed information on how the NFAAR was applied to this programme in previous academic years, please contact the relevant Director of Studies.
  • Availability of units is subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules.
  • Find out more about these and other important University terms and conditions here.